2006779320 has 384 divisors, whose sum is σ = 8382830400. Its totient is φ = 423263232.

The previous prime is 2006779303. The next prime is 2006779339. The reversal of 2006779320 is 239776002.

2006779320 is a `hidden beast` number, since 200 + 67 + 79 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 686502 + ... + 689418.

Almost surely, 2^2006779320 is an apocalyptic number.

2006779320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006779320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191415200).

2006779320 is an abundant number, since it is smaller than the sum of its proper divisors (6376051080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2006779320 is a wasteful number, since it uses less digits than its factorization.

2006779320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2006779320 is about 44797.0905305244. The cubic root of 2006779320 is about 1261.3430124419.

The spelling of 2006779320 in words is "two billion, six million, seven hundred seventy-nine thousand, three hundred twenty".